As I have said since 2015, it's worse than that... people seem to believe that a man with 6 bankruptcies and multiple business failures is better because of all of his 'business experience.' And in all those years, not one of his supporters has addressed this. His talent seems to be to convince people that he's a lot better in general than he is.
And yes, women are often treated differently in the workplace, in the ER-just about anywhere. We've still got a ways to go.
That said, I do think the US will catch up eventually and elect a woman as President. We may not live to see it, unfortunately.